106006601761 has 2 divisors, whose sum is σ = 106006601762. Its totient is φ = 106006601760.

The previous prime is 106006601749. The next prime is 106006601777. The reversal of 106006601761 is 167106600601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93205037025 + 12801564736 = 305295^2 + 113144^2 .

It is a cyclic number.

It is not a de Polignac number, because 106006601761 - 2¹⁹ = 106006077473 is a prime.

It is a super-2 number, since 2×106006601761² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106006601731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53003300880 + 53003300881.

It is an arithmetic number, because the mean of its divisors is an integer number (53003300881).

Almost surely, 2^106006601761 is an apocalyptic number.

It is an amenable number.

106006601761 is a deficient number, since it is larger than the sum of its proper divisors (1).

106006601761 is an equidigital number, since it uses as much as digits as its factorization.

106006601761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 106006601761 in words is "one hundred six billion, six million, six hundred one thousand, seven hundred sixty-one".